Tricolor Arrows

Normal sudoku rules apply.

Digits along an arrow must sum to the value in the attached circle.

The indicated 60-cell white region contains one each of the twelve standard pentominoes (no repeats by rotation or reflection). Each pentomino encloses exactly one arrow and its circle.

The arrangement of pentominoes must be deduced.

Once placed, the pentominoes can be shaded with just 3 colors, such that no two pentominoes of the same color touch each other orthogonally or diagonally. All pentominoes of one color contain 9's in their circles. All pentominoes of the second color contain 8's in their circles. The remaining pentominoes contain 7 or less in their circles.

Additionally, each pentomino behaves like a 5-cell killer cage: digits do not repeat and must sum to the value listed at the arrow tip.

Illustrated Pentominoes at: https://tinyurl.com/pent-labels